Using the values and for the function

MATHEMATICS · Single correct · AP · Calculus AB · Differentiation: Definition and Fundamental Properties · Differentiation: Definition and Fundamental Properties

Problem

Using the values

f(2)=8

and

f(2.02)=8.242408

for the function

f(x)=x^{3}

, the best estimate of the slope of the tangent to the curve at

x=2

is (a)

24.240

(b)

12.000

(c)

12.120

(d)

6.060

Related theory

Derivative Foundations
Differentiation from first principles
Intuitive idea of derivatives
Limits and Derivatives

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